Operator-splitting Methods for General Mixed Variational Inequalities
نویسندگان
چکیده
In this paper, we use the technique of updating the solution to suggest and analyze a class of new splitting methods for solving general variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Our method includes the two-step forward-backward splitting and extragradient methods for solving various classes of variational inequalities and complementarity problems as special cases.
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